Abstract
Using the extended Poincaré-Lighthill-Kuo (PLK) reductive perturbation method, which incorporates the phase-shift variations, it is shown that common features on propagation and head-on collisions of ion-acoustic waves exist for a magnetized plasmas of different inertial-less particle distributions. For instance it is remarked that, the soliton amplitude is always independent of magnetic field strength while strictly depends on its angle regarding the propagation direction. Both types of solitons (compressive or rarefactive) are shown to exist which are defined through the critical angle γ=π/2 or other critical values depending on plasma fractional parameters. These critical plasma parameter values also define the sign of head-on collision phase shift. Furthermore, it is proved that for a given set of plasma parameters there is always a relative angle of propagation regarding to that of the magnetic-field for which the soliton width is maximum. Current findings apply to a wide range of magnetized plasmas including those containing background dust ingredients or two-temperature inertial-less particles and may be used to study laboratory or astrophysical magnetoplasmas.
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References
Abbasi, H., Pajouh, H.H.: Phys. Plasmas 012307, 14 (2007)
Abdelsalama, U.M., Moslem, W.M., Ali, S., Shukla, P.K.: Phys. Lett. A 4923, 372 (2008)
Akbari-Moghanjoughi, M.: Phys. Lett. A 1721, 374 (2010a)
Akbari-Moghanjoughi, M.: IEEE Trans. Plasma Sci. (2010b). doi:10.1109/TPS.2010.2083700
Akbari-Moghanjoughi, M.: Phys. Plasmas 072101, 17 (2010c)
Akbari-Moghanjoughi, M.: Astrophys. Space Sci. (2010d). doi:10.1007/s10509-011-0650-9
Akbari-Moghanjoughi, M.: Phys. Plasmas 052302, 18 (2011a)
Akbari-Moghanjoughi, M.: Phys. Plasmas 032103, 18 (2011b)
Akbari-Moghanjoughi, M., Ahmadzadeh Khosrovshahi, N., Pramana: J. Phys. 1, 76 (2011)
Amour, R., Tribeche, M.: Phys. Plasmas 063702, 17 (2010)
Anowar, M.G.M., Mamun, A.A.: Phys. Lett. A 5896, 372 (2008)
Berezhiani, V.I., Mahajan, S.M.: Phys. Rev. Lett. 1110, 73 (1994)
Berezhiani, V.I., Tsintsadze, L.N., Shukla, P.K.: J. Plasma Phys. 139, 48 (1992a)
Berezhiani, V.I., Tsintsadze, L.N., Shukla, P.K.: Phys. Scr. T 55, 46 (1992b)
Berezhiani, V.I., El-Ashry, M.Y., Mofiz, U.A.: Phys. Rev. 448, E50 (1994)
Chatterjee, P., Ghosh, U., Roy, K., Muniandy, S.V., Wong, C.S., Sahu, B.: Phys. Plasmas 122314, 17 (2010)
Davidson, R.C.: Methods in Nonlinear Plasma Theory. Academic Press, New York (1972)
Dubinova, I.D., Dubinov, A.E.: Tech. Phys. Lett. 575, 32 (2006)
Dumont, R.J., Phillips, C.K., Smithe, D.N.: Phys. Plasmas 042508, 12 (2005)
El-Awady, E.I., Moslem, W.M.: Phys. Plasmas 082308, 18 (2011)
Esfandyari-Kalejahi, A., Mehdipour, M., Akbari-Moghanjoughi, M.: Phys. Plasmas 052309, 16 (2009)
Gougam, L.A., Tribeche, M.: Phys. Plasmas 062102, 18 (2011)
Gunell, H., Skiff, F.: Phys. Plasmas 3550, 8 (2001)
Ikezi, H., Taylor, R., Baker, D.: Phys. Rev. Lett. 11, 25 (1970)
Infeld, E., Rowlands, G.: Nonlinear Waves, Solitons and Chaos. Cambridge University Press, Cambridge (1990)
Jeffery, A., Kawahawa, T.: Asymptotic Method in Monlinear Wave Theory. Pitman, London (1982)
Jung, Y.D.: Phys. Plasmas 1215, 10 (2003)
Kohl, J.L., Strachan, L., Gardner, L.D.: Astrophys. J. 465, L141 (1996)
Lazar, M., Schlickeiser, R., Poedts, S., Tautz, R.C.: Mon. Not. R. Astron. Soc. Lett. 390, 168 (2008)
Leubner, M.P.: Phys. Plasmas 1308, 11 (2004)
Leubner, M.P., Schupfer, N.: Nonlinear Process. Geophys. 75, 9 (2002)
Liu, Z., Du, J.: Phys. Plasmas 123707, 16 (2009)
Liu, Z., Liu, L., Du, J.: Phys. Plasmas 072111, 16 (2009)
Liyan, L., Jiulin, D.: Phys. Lett. A 4821, 378 (1990)
Magni, H.E., Roman, R., Barni, R., Riccardi, C., Pierre, Th., Guyomarc’h, D.: Phys. Rev. E 026403, 72 (2005)
Mahmood, S., Akhtar, N.: Eur. Phys. J. D 217, 49 (2008)
Mahmood, S., Saleem, H.: Phys. Plasmas 721, 9 (2002)
Mahmood, S., Mushtaq, A., Saleem, H.: New J. Phys. 4680, 5 (2003)
Mahmood, M.A., Mahmood, S., Reza, A.M., Saleem, H.: Chin. Phys. Lett. 632, 22 (2005)
Mamun, A.A.: Phys. Plasmas 322, 5 (1998)
Mamun, A.A.: Astrophys. Space Sci. 507, 260 (1999)
Mamun, A.A., Alam, M.N., Azad, A.K.: Phys. Plasmas 1212, 5 (1998)
Mamun, A.A., Shukla, P.K., Stenflo, L.: Phys. Plasmas 4, 9 (2002)
Mendis, D.A., Rosenberg, M.: Annu. Rev. Astron. Astrophys. 419, 32 (1994)
Michel, F.C.: Rev. Mod. Phys. 1, 54 (1982)
Michel, F.C.: Theory of Neutron Star Magnetosphere. Chicago University Press, Chicago (1991)
Miller, H.R., Witta, P.J.: Active Galactic Nuclei. Springer, Berlin (1987)
Milovanov, A.V., Zelenyi, L.M.: Nonlinear Process. Geophys. 211, 7 (2000)
Misner, W., Throne, K.S., Wheeler, J.A.: Gravitation, p. 763. Freeman, San Francisco (1973)
Mushtaq, A., Shah, H.A.: Phys. Plasmas 072306, 12 (2005)
Na, S.C., Jung, Y.D.: Phys. Plasmas 024501, 15 (2008)
Nejoh, Y.N.: Aust. J. Phys. 309, 50 (1997)
Oikawa, M., Yajima, N.: J. Phys. Rev. Sco. Jpn. 1093, 37 (1973)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Plasmas 716, 2 (1995)
Rees, M.J.: In: Gibbons, G.B., Hawking, S.W., Siklas, S. (eds.) The Very Early Universe. Cambridge University Press, Cambridge (1983)
Reynolds, C.S., Fabian, A.C., Celotti, A., Rees, M.J.: Mon. Not. R. Astron. Soc. Lett. 873, 283 (1996)
Rizzato, F.B.: Plasma Phys. 289, 40 (1988)
Rubab, N., Murtaza, G.: Phys. Scr. 178, 73 (2006)
Sagdeev, R.Z.: In: Leontovich, M.A. (ed.) Reviews of Plasma Physics, vol. 4. Consultants Bureau, New York (1966)
Shukla, P.K., Stenflo, L., Fedele, R.: Phys. Plasmas 310, 10 (2003)
Silva, R. Jr., Plastinobv, A.R., Limaay, J.A.S.: Phys. Lett. A 401, 249 (1998)
Surko, C.M., Murphy, T.: Phys. Fluids 1372, B2 (1990)
Tandberg-Hansen, E., Emshie, A.G.: The Physics of Solar Flares. Cambridge University Press, Cambridge (1988)
Tiwari, R.S.: Phys. Lett. A 3461, 372 (2008)
Tiwari, R.S., Kaushik, A., Mishra, M.K.: Phys. Lett. A 335, 365 (2007)
Tribeche, M., Djebarni, L., Amour, R.: Phys. Plasmas 042114, 17 (2010)
Tsallis, C.: J. Stat. Phys. 472, 52 (1988)
Tsallis, C.: Braz. J. Phys. 1, 29 (1999)
Vasyliunas, V.M.: J. Geophys. Res. 2839, 73 (1968). doi:10.1029/JA073i009p02839
Vedenov, A.A., Velikhov, E.P., Sagdeev, R.Z.: Nucl. Fusion 82, 1 (1961) [in Russian]
Washimi, H., Taniuti, T.: Phys. Rev. Lett. 996, 17 (1966)
Yu, M., Shukla, P.K., Bajubarua, S.: Phys. Fluids 2146, 23 (1980)
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Akbari-Moghanjoughi, M. Universal characteristics of ion-acoustic wave dynamics in magnetized plasmas with emphasis on Tsallis distribution. Astrophys Space Sci 337, 613–622 (2012). https://doi.org/10.1007/s10509-011-0876-6
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DOI: https://doi.org/10.1007/s10509-011-0876-6